On the Determination of Ruled and Developable Surfaces in Euclidean 3-space E³
Rashad A. Abdel-Baky, Fatemah Mofarreh
Abstract
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Rashad A. Abdel-Baky, Fatemah Mofarreh
Abstract
Open-access reader
Depending on E. Study’s map, the method of determination of ruled and developable surfaces is introduced. We show that dual vectorial expression of ruled and developable surfaces will be gained from coordinates and the first derivatives of the base curve. We illustrated this method by giving some representative examples.
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Depending on E. Study’s map, the method of determination of ruled and developable surfaces is introduced. We show that dual vectorial expression of ruled and developable surfaces will be gained from coordinates and the first derivatives of the base curve. We illustrated this method by giving some representative examples.
Key concepts: Developable surface, Ruled surface, Space (punctuation), Geometry, Base (topology), Euclidean geometry, Mathematics, Mathematical analysis